Microscopic chaos from Brownian motion in a one-dimensional anharmonic oscillator chain

Abstract

The problem of relating microscopic chaos to macroscopic behavior in a many-degrees-of-freedom system is numerically investigated by analyzing statistical properties associated to the position and momentum of a heavy impurity embedded in a chain of nearest-neighbor anharmonic Fermi-Pasta-Ulam oscillators. For this model we have found that the behavior of the relaxation time of the momentum autocorrelation function of the impurity is different depending on the dynamical regime (either regular or chaotic) of the lattice.

5 pages REVTeX, 6 eps figures, to appear in Phys. Rev. E

References in corpus (1)

• Can disorder induce a finite thermal conductivity in 1D lattices?

Cited by in corpus (5)

• Deterministic Brownian motion generated from differential delay equations
• Probing Hamiltonian dynamics by means of the 0-1 test for chaos
• Macroscopic detection of the strong stochasticity threshold in Fermi-Pasta-Ulam chains of oscillators
• Lyapunov modes in three-dimensional Lennard-Jones fluids
• Macroscopic evidence of microscopic dynamics in the Fermi-Pasta-Ulam oscillator chain from nonlinear time series analysis